Note that the above calculation gives the same results for the Rényi entropies \(S_m\)  for all \(m \ge 0\) . The entanglement spectrum for the RTN is therefore flat, which is clearly not true for generic holographic states.
Instead, RTN have been interpreted as models of fixed-area states in such theories [1]}, [2]}, [3]}. Generic holographic states can be obtained as a superposition of fixed-area states. Later we will see such superpositions naturally arise from the canonical purification without adding this structure in by hand.
